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Ten mathematical formulas
1. The side length of a cubic container is 2 decimeters. Pour 5 liters of water into the container, and then put an iron block into the water. At this time, the water depth in the container is 15cm. Find the volume of iron block

2*2* 1.5-5 = 1 cubic decimeter

The volume of iron is 1 cubic decimeter.

2. Put a cubic iron block with a side length of 14cm into a cuboid water tank with an unknown bottom area, and the water level will rise by 49cm. Then put a stone, the water level rises by 3.5cm, and find the volume of this stone.

Volume =14 *14 *14 * 3.5/49 =196 cubic centimeter.

3. Dig a foundation with a length of 56 meters, a width of 24 meters and a depth of 2 meters, with an average weight of 6 tons per 4 cubic meters. If you use a truck with a load of 8 tons to transport soil, how many times will it be transported?

(56*24*2*6/4 )/8 = 504 times

4. Immerse a small cube with a side length of 6cm into a cuboid water tank with a bottom area of 18 cm, and find out how many centimeters the water level in the water tank has risen.

6*6=36 cm2 > 18 cm2 won't fit.

If the height of a cuboid is increased by 3cm, it will become a cube, and its surface area will be increased by 60cm. How many cubic centimeters was the original cuboid?

4* side length *3 =60

Side length = 5

Cuboid volume = 5*5*(5-3)=50 cubic centimeters.

6. Ginza supermarket brought two kinds of fruits, apples and pears, of which apples were 300 kilograms, which was exactly five-sixth of the weight of pears. How many kilograms of pears? (Equation solving)

Suppose there are x kilograms of pears, then

x*5/6=300

X=360 kg

7. Warehouse A has 280 tons of corn, which is four-fifths of that of warehouse B. If the corn in warehouse A is half of that in warehouse B, how many tons of corn do you need to transport from warehouse A to warehouse B?

Warehouse B =280/(4/5)= 350 tons

Shipment from warehouse A = 280 -(350+280)/3 = 70 tons.

8. A sealed medicine glass container containing 120 liters of medicine. It is known that the lengths of the three sides intersecting the vertex are 10 decimeter, 6 decimeter and 5 decimeter respectively. What is the depth of medicine in the glass container at this time?

In three cases, the length of three ribs is 10 decimeter, 6 decimeter and 5 decimeter respectively, and the depth of medicine is different.

The height of the ridge is 10 decimeter, and the depth of the part is = 120/(6*5)=4 decimeter.

Take an edge with a length of 6 decimeters as the height, and the depth of this part = 120/( 10*5)=2.4 decimeters.

Take an edge with a length of 5 decimeters as the height, and the depth of this part = 120/(6* 10)=2 decimeters.

9. The quilts transported to the disaster area weigh 48 kilograms, and 7200 kilograms of quilts are transported by three cars at a time. How many quilts does each car need to transport on average?

7200/3/(48/5)= 250 beds

10. Mom bought a bag of rice. She ate a fifth, exactly four kilograms, in the first week and a quarter in the second week. How many kilograms of rice did she eat in the second week?

4*4* 1/4=4 kg

I ate 4 kilograms of rice in the second week.

Supplement to the question:

1. Warehouse A has 120 tons of flour. If one fifth of the flour in warehouse B is transported to warehouse A, then the flour in both warehouses is the same. B How many tons of flour are there in the warehouse?

120/(1-1/5-1/5) =120/(3/5) = 200 tons.

Two-thirds of a number is subtracted from one-fifth of this number to get seven tenths. What's this number? (Close Type)

7/ 10 / (2/3- 1/5)= 3/2

3. For a rope, two-ninth of the total length was used for the first time, 8 meters more than the first time, or 12 meters. What is the total length of this rope?

( 12+8)/( 1-2/9-2/9)= 20/(5/9)= 36m。

Mom bought 8 kilograms of cabbage and 3 kilograms of celery. How many kilograms of celery are there?

Celery *5/2+3=8

Celery = (8-3)/(5/2) = 5/(5/2) = 2kg.

The distance between a and b is 540 kilometers. A bus and a truck leave from Party A and Party B at the same time. Buses travel 75 kilometers per hour, a quarter faster than trucks. How many hours did the two cars meet?

540/(75+75/(1+1/4)) = 540/135 = 4 hours.

6. Young Pioneers participate in tree planting activities. Wang Ming said, "We planted three-tenths of the total number of saplings on the first day and 100 trees on the second day, which is just half of the total number of saplings in two days." Please calculate: How many trees will the Young Pioneers plant?

100/( 1/2-3/ 10) = 100/(2/ 10) = 500.

7.24 times 3/8 is the sum (3/8 of 24).

8. Three eighths times twenty-four is the total (eight thirds of twenty-four).

9. What does five sixths divided by three fourths mean? How many times is five-sixths three-fourths? )